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Finding the Fourth Proportional to 1,188,789,720.07, 1,640,549,571.78 and 652,990,927.45

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Solution

The fourth proportional to 1,188,789,720.07, 1,640,549,571.78 and 652,990,927.45 is: 901,138,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,789,720.07 : 1,640,549,571.78 = 652,990,927.45 : x
  2. Step 2: Convert to fraction form
    1,188,789,720.07/1,640,549,571.78 = 652,990,927.45/x
  3. Step 3: Cross multiply
    1,188,789,720.07x = 1,640,549,571.78 × 652,990,927.45
  4. Step 4: Simplify right side
    1,188,789,720.07x = 1,071,263,986,404,322,560
  5. Step 5: Solve for x
    x = 1,071,263,986,404,322,560/1,188,789,720.07
  6. Step 6: Final answer
    x = 901,138,332.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.